Which of the following expressions is a polynomial - a -x-1 b x-1-x-1 c x2-2-x2-5 d x2-2x3-2-x-6

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Standard IX

Mathematics

Polynomials

Which of the ...

Question

Which of the following expressions is a polynomial ?
(a) $\sqrt{x} - 1$
(b) $\frac{x - 1}{x + 1}$
(c) $x^{2} - \frac{2}{x^{2}} + 5$
(d) $x^{2} + \frac{2 x^{\frac{3}{2}}}{\sqrt{x}} + 6$

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Solution

(d) $x^{2} + \frac{2 x^{\frac{3}{2}}}{\sqrt{x}} + 6$

it can be simplified into $x^{2} + 2 x + 6$
It a polynomial because it has only non-negative integral powers of x.

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Similar questions

Q. Which of the following expression is a polynomial?
(a)

\sqrt{x} - 1

(b)

\frac{x - 1}{x + 1}

(c)

x^{2} - \frac{2}{x^{2}} + 5

(d)

x^{2} + \frac{2 x^{3 / 2}}{\sqrt{x}} + 6

Question 1
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A) $\frac{x^{2}}{2} - \frac{2}{x^{2}}$
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D) $\frac{x - 1}{x + 1}$

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is divided by

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Which of the following is a linear expression ?

a) $x^{2} \times y + x y + 1$

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c) $x^{3} \times y + x y + 1$

d) $4 x^{2} + 1$

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Which of the following expressions is a polynomial ? (a) √x−1 (b) x−1x+1 (c) x2−2x2+5 (d) x2+2x32√x+6

(d) x2+2x32√x+6 it can be simplified into x2+2x+6 It a polynomial because it has only non-negative integral powers of x.

Which of the following expressions is a polynomial ?
(a) $\sqrt{x} - 1$
(b) $\frac{x - 1}{x + 1}$
(c) $x^{2} - \frac{2}{x^{2}} + 5$
(d) $x^{2} + \frac{2 x^{\frac{3}{2}}}{\sqrt{x}} + 6$

(d) $x^{2} + \frac{2 x^{\frac{3}{2}}}{\sqrt{x}} + 6$

it can be simplified into $x^{2} + 2 x + 6$
It a polynomial because it has only non-negative integral powers of x.